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Finding the Fourth Proportional to 5,761.48, 8,639.14 and 1,812.00

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Solution

The fourth proportional to 5,761.48, 8,639.14 and 1,812.00 is: 2,717.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.48 : 8,639.14 = 1,812.00 : x
  2. Step 2: Convert to fraction form
    5,761.48/8,639.14 = 1,812.00/x
  3. Step 3: Cross multiply
    5,761.48x = 8,639.14 × 1,812.00
  4. Step 4: Simplify right side
    5,761.48x = 15,654,152.94
  5. Step 5: Solve for x
    x = 15,654,152.94/5,761.48
  6. Step 6: Final answer
    x = 2,717.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.